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vlabodo [156]
3 years ago
11

Five years ago, Alicia invested $10,000 at 5% interest. How much less money would she have today if she had invested the money a

t 4% instead of 5%? Interest is compounded annually.
Business
1 answer:
Strike441 [17]3 years ago
3 0

Answer:

$596.29 less

Explanation:

A = P(1+r)^n

P = $10,000

n = 5 years

If she invested at 5%, r = 5% = 0.05

A = 10,000(1+0.05)^5 = 10,000 × 1.05^5 = $12762.82

If she invested at 4%, r = 4% = 0.05

A = 10,000(1+0.04)^5 = 10,000 × 1.04^5 = $12166.53

Amount of money she would have less if she invested at 4% instead of 5% = $12762.82 - $12166.53 = $596.29

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Suppose you are going to receive $13,200 per year for five years. The appropriate interest rate is 8.1 percent.
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Answer:

a-1) Pv = 52549

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    =13200(1.476-1)/.081

    = 13200 * 5.8765

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a.1)Present value of ordinary annuity:

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                                  =13200 * [(1-(1+.081)∧-5]/.081

                                 =13200 * (1-.6774)/.081

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                                =52549

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                                    =  13200 * [(1- (1+.081)∧-5)/.081   * (1+.081)

                                 = 13200  * 3.9822 *  1.081

                               =  56822

b-2) Future value=?

we know that:         S= R [(1+i)∧n+1)-1]/i ]  -R

                             = 13200[ [ (1+.081)∧  5+1 ]-1/.081]   - 13200

                           = 13200 (.5957/.081)   -13200

                         = (13200 * 7.3544)-13200

                         = 97078  -  13200

                       =  83878

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